Identify one view your disagree with from our reading on equality: Singer, Anderson, or Kelly & Roedder. You may also write a paper about luck egalitarianism, if your disagreement with it is different from Anderson's.
In 5-6 pages, (a) explain the view in the clearest way you can, (b) present the best objection you can to the view, and then (c) explain what you think would be the best response an advocate of the view could make to your objection.
Your objection and the response you consider must be different from any objections that were discussed in the readings or that I presented in lecture.
Your paper should be structured as follows: Begin with a short (i.e. 1-paragraph) introduction that explains your main view and how you'll proceed. In Section 1, describe the view you're discussing as clearly and concisely as possible, clarifying any important ambiguities or important pieces of jargon. In Section 2, present your novel objection to that view. Explain why you think that objection is a good one (and limit yourself to one objection). In Section 3, give what you think would be the best response to your objection. Explain why you think that response would be good. Use headings for your sections.
More specific directions:
The style of your paper should be the same as what you aimed for in Paper 1 and Paper 2. The short sample papers are still a good guide.
Get to the point as quickly as possible. Do not give any more background in your introduction than is strictly necessary. Avoid big-picture statements, unless they're the specific thing you want to discuss.
Make your writing clear and concise. If a sentence is more than 20 words, think about how to break it down into shorter sentences.